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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-47/8, b>=a > For fixed z and a=-47/8, b=7/8





http://functions.wolfram.com/07.23.03.b54t.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 7/8, 7/2, -z] == (1/(5435418483 z^(5/2) Sqrt[1 + z])) (64 (Sqrt[z] Sqrt[1 + z] (402132 + 3585677 z + 101203764 z^2 + 151805646 z^3 + 159576024 z^4 + 112234397 z^5 + 50604840 z^6 + 13258960 z^7 + 1538240 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (1608528 + 15448571 z + 74830063 z^2 + 162528486 z^3 + 220251294 z^4 + 210136215 z^5 + 135975587 z^6 + 57042040 z^7 + 14028080 z^8 + 1538240 z^9) Sinh[ArcSinh[Sqrt[z]]/4]))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02